What is the Greatest Common Factor of 46536 and 46545?

Greatest common factor (GCF) of 46536 and 46545 is 3.

GCF(46536,46545) = 3

We will now calculate the prime factors of 46536 and 46545, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46536 and 46545.

How to find the GCF of 46536 and 46545?

We will first find the prime factorization of 46536 and 46545. After we will calculate the factors of 46536 and 46545 and find the biggest common factor number .

Step-1: Prime Factorization of 46536

Prime factors of 46536 are 2, 3, 7, 277. Prime factorization of 46536 in exponential form is:

46536 = 2³ × 3¹ × 7¹ × 277¹

Step-2: Prime Factorization of 46545

Prime factors of 46545 are 3, 5, 29, 107. Prime factorization of 46545 in exponential form is:

46545 = 3¹ × 5¹ × 29¹ × 107¹

Step-3: Factors of 46536

List of positive integer factors of 46536 that divides 46536 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 277, 554, 831, 1108, 1662, 1939, 2216, 3324, 3878, 5817, 6648, 7756, 11634, 15512, 23268

Step-4: Factors of 46545

List of positive integer factors of 46545 that divides 46536 without a remainder.

1, 3, 5, 15, 29, 87, 107, 145, 321, 435, 535, 1605, 3103, 9309, 15515

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46536 and 46545. The biggest common factor number is the GCF number.
So the greatest common factor 46536 and 46545 is 3.

Also check out the Least Common Multiple of 46536 and 46545